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arxiv: 1806.08608 · v1 · pith:TRJLGCYBnew · submitted 2018-06-22 · 🧮 math.PR

On generalized ARCH model with stationary liquidity

classification 🧮 math.PR
keywords modelstationaryarchgeneralizedliquidityadditionassumptionscharacterisation
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We study a generalized ARCH model with liquidity given by a general stationary process. We provide minimal assumptions that ensure the existence and uniqueness of the stationary solution. In addition, we provide consistent estimators for the model parameters by using AR(1) type characterisation. We illustrate our results with several examples and simulation studies.

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